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Finding the Fourth Proportional to 24,149.40, 36,234.90 and 8,578.20

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Solution

The fourth proportional to 24,149.40, 36,234.90 and 8,578.20 is: 12,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.40 : 36,234.90 = 8,578.20 : x
  2. Step 2: Convert to fraction form
    24,149.40/36,234.90 = 8,578.20/x
  3. Step 3: Cross multiply
    24,149.40x = 36,234.90 × 8,578.20
  4. Step 4: Simplify right side
    24,149.40x = 310,830,219.18
  5. Step 5: Solve for x
    x = 310,830,219.18/24,149.40
  6. Step 6: Final answer
    x = 12,871.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.